Pith Number

pith:NRSFHTPO

pith:2004:NRSFHTPOA3VQPVZZJO2K2WTZ5K

not attested not anchored not stored refs pending

An algebraic model for the loop space homology of a homotopy fiber

Kathryn Hess, Ran Levi

arxiv:math/0410503 v4 · 2004-10-23 · math.AT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRSFHTPOA3VQPVZZJO2K2WTZ5K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:41:32.251583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6453cdee06eb07d7394bb4ad5a79eaacaec45c3cce9f15da5392f96a0ead9d

Aliases

arxiv: math/0410503 · arxiv_version: math/0410503v4 · doi: 10.48550/arxiv.math/0410503 · pith_short_12: NRSFHTPOA3VQ · pith_short_16: NRSFHTPOA3VQPVZZ · pith_short_8: NRSFHTPO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NRSFHTPOA3VQPVZZJO2K2WTZ5K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6c6453cdee06eb07d7394bb4ad5a79eaacaec45c3cce9f15da5392f96a0ead9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08b5526eff67446945fb8d8818586a71e885dc3369d2c38508d3cc0688b8148",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-10-23T06:04:38Z",
    "title_canon_sha256": "fccf21c926c1d46d4d229b6dc43817a976b0223df7a74a8085079ce4c2f1119e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410503",
    "kind": "arxiv",
    "version": 4
  }
}